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Finding the Fourth Proportional to 3,948.70, 5,922.81 and 1,483.32

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Solution

The fourth proportional to 3,948.70, 5,922.81 and 1,483.32 is: 2,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.70 : 5,922.81 = 1,483.32 : x
  2. Step 2: Convert to fraction form
    3,948.70/5,922.81 = 1,483.32/x
  3. Step 3: Cross multiply
    3,948.70x = 5,922.81 × 1,483.32
  4. Step 4: Simplify right side
    3,948.70x = 8,785,422.53
  5. Step 5: Solve for x
    x = 8,785,422.53/3,948.70
  6. Step 6: Final answer
    x = 2,224.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.